This worksheet is a fun, Valentine’s-themed math activity designed to help students practice number patterns and use a
120 chart (a grid of numbers from 1 to 120) to fill in missing numbers.
Each box is a 3x3 grid with some numbers filled in. Your job is to figure out the pattern and fill in the blanks — typically by counting forward/backward or using place value (e.g., +1, +10, -1, -10).
Let’s solve each box one by one:
---
🔹 Box 1: Top Left
```
_ 36 _
45 _ 47
_ 56 _
```
We can see:
- Row 1: 36 is in the middle → so left = 35, right = 37
- Row 2: 45 and 47 are given → middle = 46
- Row 3: 56 is in the middle → left = 55, right = 57
Also, vertically:
- Column 1: 35, 45, 55 → increases by 10
- Column 2: 36, 46, 56 → increases by 10
- Column 3: 37, 47, 57 → increases by 10
✔ Completed Box 1:
```
35 36 37
45 46 47
55 56 57
```
---
🔹 Box 2: Top Right
```
_ 99 _
108 _ 110
_ 119 _
```
Row 1: 99 is middle → left = 98, right = 100
Row 2: 108 and 110 → middle = 109
Row 3: 119 is middle → left = 118, right = 120
Check columns:
- Col 1: 98, 108, 118 → +10
- Col 2: 99, 109, 119 → +10
- Col 3: 100, 110, 120 → +10
✔ Completed Box 2:
```
98 99 100
108 109 110
118 119 120
```
---
🔹 Box 3: Bottom Left
```
91 _ _
_ _ 103
_ 112 _
```
Let’s look at diagonals or vertical/horizontal patterns.
We know:
- 91 is top-left
- 103 is middle-right
- 112 is bottom-middle
Try to build row by row.
Row 1: 91, ?, ? → likely 91, 92, 93 (if increasing by 1)
But then Row 2: ?, ?, 103 → if row 2 ends with 103, maybe it's 101, 102, 103?
Then Row 3: ?, 112, ? → 111, 112, 113?
Now check columns:
Col 1: 91, 101, 111 → +10 ✔️
Col 2: 92, 102, 112 → +10 ✔️
Col 3: 93, 103, 113 → +10 ✔️
Perfect!
✔ Completed Box 3:
```
91 92 93
101 102 103
111 112 113
```
---
🔹 Box 4: Bottom Right
```
83 _ _
_ 94 _
_ _ 105
```
Given:
- 83 top-left
- 94 center
- 105 bottom-right
Let’s try filling row by row.
If 83 is top-left, next might be 84, 85? But then center is 94 — that’s 10 more than 84.
So perhaps:
Row 1: 83, 84, 85
Row 2: 93, 94, 95 ← because 94 is center
Row 3: 103, 104, 105 ← because 105 is bottom-right
Check columns:
Col 1: 83, 93, 103 → +10 ✔️
Col 2: 84, 94, 104 → +10 ✔️
Col 3: 85, 95, 105 → +10 ✔️
✔ Completed Box 4:
```
83 84 85
93 94 95
103 104 105
```
---
##
✔ Final Answer — All Boxes Filled:
Box 1:
```
35 36 37
45 46 47
55 56 57
```
Box 2:
```
98 99 100
108 109 110
118 119 120
```
Box 3:
```
91 92 93
101 102 103
111 112 113
```
Box 4:
```
83 84 85
93 94 95
103 104 105
```
---
## 💡 Explanation:
This activity reinforces
number sense,
place value, and
pattern recognition using a 120 chart. Each 3x3 grid represents a small section of the 120 chart where:
- Moving
right = +1
- Moving
down = +10
- Moving
left = -1
- Moving
up = -10
By recognizing these patterns, students can logically deduce missing numbers without needing to count each time — building mental math skills.
Happy Valentine’s Day math! ❤️
*(Note: The instruction “On the back – design your own Stolen Heart boxes” invites creativity — you can make your own 3x3 grids with different starting numbers and challenge others to fill them!)*
Parent Tip: Review the logic above to help your child master the concept of fun 2nd grade math worksheet.